Not sure if you are under a time crunch on transport but uber/lyft will be the most efficient means.
If you'll be in the parks those days, I'd just plan your resort switch using park transport to that resort. If you keep your bag with you then no need to have any luggage transferred either so that's simple.
Same if you plan to go to Disney springs, use that as your resort switch time if you don't want to use uber/lyft. When you say Wilderness are you staying at Fort Wilderness or Wilderness Lodge? I only ask because you could really try a planes, trains, automobiles thing and switch your stay to BLT, WL then to RIV and from BLT you could get creative and do monorail to MK and then the boat from MK to Wilderness lodge.